0.27 = 0.0027% probability that this bulb was produced by factory B.
Given,
In the question:
Three factories produce light bulbs to supply the market. Factory a produces 20%, 50% of the tools are produced in factory B and 30% in factory C. 2% of the bulbs produced in factory A, 1% of the bulbs produced in factory b and 3% of the bulbs produced in factory C are defective.
We use the conditional probability formula to solve this question. It is
P(A|B) = P(A∩B) / P(A)
In which,
P(B|A) is the probability of event B happening, given that A happened.
P(A∩B) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
2% of 20%(factory A)
1% of 50%(factory B)
3% of 30%(factory C). So
P(A) = 0.02 x 0.2 + 0.01 x 0.5 + 0.03 x 0.3
P(A) = 0.018
Defective and from factory B:
1% of 50%. So
P(A∩B) = 0.01 x 0.5 = 0.005
What is the probability that this bulb was produced by factory B?
P(A|B) = P(A∩B) / P(A)
P(A|B) = 0.005/ 0.018
P(A|B) = 0.27
Hence, 0.27 = 0.0027% probability that this bulb was produced by factory B.
Learn more about Probability at:
https://brainly.com/question/1717583
#SPJ4
Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows. 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials).
The value used for the parameter p is 0.544.
The number of successes in a sample of size n drawn with replacement from a population of size N is typically modeled using the binomial distribution. The mean for this type of distribution is computed by multiplying the number of trials (n) by the probability that they will succeed (p). Then, mean = n×p. The variance is n×p×q, where q is the probability that the event fails. The standard deviation is √(n×p×q).
Here, given that the percentage of tickets sold with popcorn is 54.4% and those not sold is 45.6%, the parameter (p) we used to calculate when the event occurs is 0.544. Because it is the probability that the sale of movie tickets with popcorn occurs.
The answer is 0.544.
The complete question is -
Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows.
54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not.
You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials).
What value should you use for the parameter p?
To know more about binomial distribution:
https://brainly.com/question/14565246
#SPJ4
y=(x+5)²-4
Vertex:
Axis of Symmetry:
x-intercepts:
y-intercept:
Is the vertex a maximum or minimum?
Angle d is a circumscribed angle of circle o. What is the perimeter of kite obde? 17 units 23 units 27 units 60 units.
The solution to this question is 27 units the perimeter of kite OBDE.
The definition of perimeterThe perimeter of a shape is the entire length of the shape's boundary as used in geometry. A form's perimeter can be calculated by adding the lengths of all of its sides and edges. In order to calculate it, linear distances such as centimeters, meters, inches, or feet are used.
Here
This is because 15x15 =225
8x8 = 64
225+64=289 and
the square root of 289 is 17 and that is the diameter of the circle and the hypotenuse of the triangle and since the kite has two congruent sides which are both radii or can be written as half of a diameter times two would be the same as the length of the diameter which is17+the two bottom sides (which are both 5 and 5 )
So 5+ 5 = 10 and
10 + 17 =27 or the perimeter of the kite.
Therefore ,the perimeter of kite OBDE is 27 units.
To know more about perimeter ,visit
https://brainly.com/question/27591380
#SPJ4
a farmer collected some eggs from his farm and found b eggs broken. he packed the remaining eggs in c egg cartons. each egg carton can hold a dozen eggs and no eggs were leftover. write an algebraic expression for the number of eggs he collected initially in terms of b and c.
The algebraic expression for the number of eggs he collected initially in terms of b and c would be 12c + b.
What is an algebraic expression?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.).
The total number of eggs he collected = 12c + b.
Because 12 eggs are a dozen multiplied by unknown, you get a multiple of twelve then you add your broken eggs for the total.
Hence, the algebraic expression for the number of eggs he collected initially in terms of b and c would be 12c + b.
To learn more about algebraic expression, visit:
https://brainly.com/question/4344214
#SPJ4
When 2/9is rewritten using long division the result is best described as an?
Answer:
a mixed fraction or decimal
Calculate the ditance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane
The distance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane is 8√2 units.
Define the term distance formula?The Pythagorean theorem is used to calculate the distance using the distance formula. If we are aware of the coordinates of both the 2 points as in XY plane, we may calculate the distance between them. The distance formula can be used to calculate the distance between both P and Q if P(x1, y1) with Q(x2, y2) are the two main points in a plane.For the stated question-
Distance formula;
d = √(x2 -x1)² + (y2 - y1)²
H(x1, y1) = (−9, 0)
and J(x2, y2) = (−1,−8)
Put the values;
HJ = √(-1 + 9)² + (-8 - 0)²
HJ = √(64 + 64)
HJ = 8√2
Thus, the distance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane is 8√2 units.
To know more about the distance formula, here
https://brainly.com/question/661229
#SPJ4
a multiple choice exam has a mean of 100 and a standard deviation of 13. about what percent of people would be expected to score 115 or more on the exam?
1.15 percentile of people would be expected to score 115 or more
What is Standard Deviation?
A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.
Solution:
Mean = 100
Standard Deviation = 13
To solve the given problem we need to calculate the Z - Score
Z = X - Mean / Standard Deviation
P(X > 115)
Z = 115 - 100 / 13
Z = 15 / 13
Z = 1.15 Percentile
To learn more about Standard Deviation from the given link
https://brainly.com/question/24298037
#SPJ4
on a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what is the best approximation of the percent of scores that fell between 58.9 and 75.1?
the best approximation of the percent of scores that fell between 58.9 and 75.1 is 4.
The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.
Find the difference between these two figures and the mean, divide it by the standard deviation of 5.4, and you will know how many standard deviations 75.1 and 61.5 are above and below the mean:
(75.1−64.3)/5.4
=2sd
According to the empirical rule, 95% of data are within two standard deviations of the mean.
So, the answer is 4.
Know more about Mean at:
https://brainly.com/question/20118982
#SPJ4
Solve the inequality 5x > –15 for x.
Answer: x > -3
Steps:
5x > -15 Bring 5 to the other side (multiplication ---> division)
x > -15/5 Divide
x > -3
The solution of the inequality 5x > -15 after solving the inequality expression is x > -3.
Given an inequality expression:
5x > -15
It is required to find the value of x after solving the expression.
In order to solve this, it is required to isolate the value of the variable, in this case, x, on one side and the constant terms on the other side.
In order to isolate the variable:
Divide both sides by 5.
x > [tex]\frac{-15}{5}[/tex]
x > -3
Hence, the solution of the inequality expression is x > -3.
Learn more about Inequality here :
https://brainly.com/question/20383699
#SPJ6
Given g(x) = -5x + 1, find g(1).
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
g(x) tells us what the variable is and what variable should be replaced with a value.
g(1) tells us the value that will replace x.
Plug in 1 to the equation:
-5(1) + 1 = g(1) (multiply)
-5 + 1 = g(1) (combine like terms)
-4 = g(1)
Therefore, g(1) is equal to -4
in a periodic review system, yyou place and order every 14 days. the lead time is 8 days. what is the uncertainty period? state your answer as a whole number, for example 44
In a periodic review system when an order is placed every 14 days, the uncertainty period is 22 days.
Lead time is the time that passes from the start to the conclusion. It helps in measuring the time taken to complete a project. It varies from industry to industry.
It is normally calculated as:
Lead time = processing time + post-processing time.
Given,
lead time = 8 days
Order place date = 14 days
uncertainty period = order date + lead time
uncertainty period = 14 + 8 = 22 days
So, we can say that in a periodic review system when an order is placed every 14 days, the uncertainty period will be 22 days.
To know more about Lead time,
brainly.com/question/13136823
#SPJ4
Monica deposits $100 into a savings account that pays a simple interest rate of 3.3%. Paul deposits $200 into a savings account that pays a simple interest rate of 2.1%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
[tex]~~~~~~ \stackrel{\textit{\LARGE Monica}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3.3\%\to \frac{3.3}{100}\dotfill &0.033\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (100)(0.033)(1) \implies I = 3.3 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \stackrel{\textit{\LARGE Paul}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 2.1\%\to \frac{2.1}{100}\dotfill &0.021\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.021)(1) \implies I = 4.2[/tex]
well, Monica needs to check more closely what was in that last cup of coffee she drank, she's hallucinating.
37. What type of interval training consists of overhead squats, front squats, and romanian deadlifts?
LSD training is type of interval training consists of overhead squats, front squats, and romanian deadlifts
Whats the definition for intervals?
in·ter·val ˈin-tər-vəl. plural intervals. : a space of time between events or states. a two-month interval between medical treatments. There were long intervals during the game in which nothing exciting happened
The area of focus of the Single Leg Romanian Deadlift is the back of the individuals legs and hips. By engaging in this activity, a person is getting a great workout for his or her glutes, hamstrings, lats. It requires the person to lift one leg directly beside the balance leg and then bend from waist to slowly reach hand toward the toes of the balance leg.
learn more about of interval here
https://brainly.com/question/17120678
#SPJ4
What estimate can i do for 3.5x0.4
Answer:
The answer is 1.4
A boat is heading towards a l, whose beacon-light is 113 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11 ∘ ∘ . What is the ship’s horizontal distance from the lighthouse (and the shore)?
113 % = 1893per capacity
Step-by-step explanation:
first you have to calculate the 113 feet with its equation then calculate the quation with the number 69 divisible by it then divide it and your answer is there
each year, more than 2 million people in the united states become infected with bacteria that are resistant to antibiotics. in particular, the centers of disease control and prevention have launched studies of drug-resistant gonorrhea.† suppose that, of 221 cases tested in a certain state, 14 were found to be drug-resistant. suppose also that, of 322 cases tested in another state, 6 were found to be drug-resistant. do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? use a 0.02 level of significance. (let p1
Yes, These data suggest a statistically significant difference between the proportions of drug-resistant cases in the two cities.
In first city, the drug-resistant proportion is significant while In other city, It is not significant.
What is Ratio and proportion ?
A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another.
Let the first city to be City A and the other city as City B.
In city A, 14 cases are of drug-resistant out of total 221 cases.
In city B, 6 cases are of drug-resistant out of total 322 cases.
We'll find the proportion of drug-resistant cases of both cities,
City A = 14 / 221 = 0.06 > 0.02
City B = 6 / 322 = 0.018 < 0.02
If use a 0.02 level of significance then,
City A has significant drug-resistant cases while City B does not have significant cases.
Learn more about Ratio and proportion from the link given below :
https://brainly.com/question/12024093
#SPJ4
(3x +33)"
(4x+8)
Find B
Answer: B=90 degrees maybe
Step-by-step explanation:
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 1.6 1.4 2.7 2.3 2.5 2.3 2.6 3.0 1.3 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. (a) State the null and alternative hypotheses. H0: ???? = 2 Ha: ???? ≠ 2 H0: ???? < 2 Ha: ???? ≥ 2 H0: ???? ≤ 2 Ha: ???? > 2 H0: ???? ≥ 2 Ha: ???? < 2 H0: ???? > 2 Ha: ???? ≤ 2 (b) Compute the sample mean. (c) Compute the sample standard deviation. (Round your answer to three decimal places.) (d) What is the test statistic? (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (e) What is your conclusion? Reject H0. We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes.Do not reject H0. We cannot conclude that the mean tree-planting time differs from two hours. There is no reason to change from the two hours for cost estimating purposes. Do not reject H0. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes.Reject H0. We can conclude that the mean tree-planting time differs from two hours. There is a reason to change from the two hours for cost estimating purposes.
The null hypothesis for the sample data set is given by H₀ : μ = 2 and the alternate hypothesis for the data is H₁ : μ > 2 .
a)H₀ : μ = 2
H₁ : μ > 2
We cannot reject the null hypothesis and conclude that no significant evidence exists to confirm that the mean tree-planting time differs from two hours.
Given :
X = 23.71,17.79, 29.87,18.78,28.76
b)Sample mean, x = Σx / n = 22/10 = 2.2
c) Standard deviation, s = 0.516
H0 : μ = 2
H1 : μ > 2
Test statistic :
(x - μ) ÷ (s/√(n))
n = 10
d) Test statistic :
=(2.2 - 2) ÷ (0.516/√(10))
=0.2 / 0.1631735
Test statistic = 1.23
Using the P-value from T-score we get the degrees of freedom:
df
= n - 1
= 10 - 1
= 9
P-value (1.23, 9) = 0.1249
e) Since, P-value > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two.
A hypothesis is thetheory put up to explain a phenomenon. If a hypothesis cannot be tested by the scientific method, it cannot be referred to as a scientific hypothesis.
Scientific theories frequently start with historical observations that can't be adequately explained by the body of knowledge at this time. A hypothesis is a tested assertion regarding the relationship between two or more variables in the scientific area or a theory put out to explain an observed phenomena.
To learn more about hypothesis visit:
https://brainly.com/question/15980505
#SPJ4
consider a list of randomly generated 2-letter ""words"" printed on a paper. the letters cannot be repeated. 1) how many different words are there? 26*25 2) at least how many of these ""words"" should be printed to be sure of having at least 7 identical ""words"" on the list? 26*25*7 3) at least how many identical ""words"" are printed if there are 5201 ""words"" on the list?
1) the maximum number of different 2 letter words = 650
2) 3901 words that should be printed to be sure of having at least 7 identical words on the list.
3) if there are 5201 words on the list, then there are 11 identical words
In this question, we have been given a list of randomly generated 2-letter words printed on a paper and he letters cannot be repeated.
1)the maximum no. of different 2 letter words would be,
using permutation,
^(26)P_2 = 650
2) the least number of words that should be printed to be sure of having at least 7 identical words on the list.
650 * 6 = 3900
3900 + 1 = 3901
to sure 7 identical words 3901 words should be printed.
3) the least number of identical words are printed if there are 5201 ""words"" on the list.
5201 = (520 * 10) + 1
so, there are at least 11 identical words.
Therefore, 1) the number of different 2 letter words = 650
2) the least number of words that should be printed to be sure of having at least 7 identical words on the list = 3901
3) if there are 5201 words on the list, 11 identical words should be printed.
Learn more about permutation here:
https://brainly.com/question/28720645
#SPJ4
If Amy is tardy, then she will get a detention
Write the CONVERSE of this statement
Answer:
Amy will get detention if she is tardy
Step-by-step explanation:
o of the four expressions x y, x 5y, x – y, and 5x – y are chosen at random, what is the probability that their product will be of the form of x 2 – (by) 2 , where b is an integer?
The probability of the product of the given expressions is in the form of x² - (by)² is equal to 1/6.
As given in the question,
Given four expressions are:
( x + y ) , ( x + 5y ) , ( x - y ) and ( 5x - y )
Product of any two expression to have two degree expressions :
( x + y )( x + 5y ) = x² + 6xy + 5y²
( x + y )( x - y ) = x ² - y²
( x + y )( 5x - y ) = 5x² + 4xy -y²
( x + 5y )( x - y ) = x² + 4xy -5y²
( x + 5y )( 5x - y ) = 5x² + 24xy -5y²
(x - y) ( 5x - y) = 5x² - 6xy + y²
Total number of possible outcome of the product with degree 2 = 6
Favourable outcomes in the form of x² - ( by )² is x² - y² = x² -(1y)²
Here b = 1 is an integer.
Number of favourable outcomes = 1
Required probability = 1/6
Therefore, the probability of the product in the form of x² - ( by )² is equal to 1/6.
The complete question is:
If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product will be of the form of x2 – (by)2, where b is an integer?
Learn more about probability here
brainly.com/question/11234923
#SPJ4
best answer gets brainliest
Answer:g(-8)=-62
Step-by-step explanation:
8x+2=-62. minus 2 to both sides
8x=-64. divide both sides by 8 to isolate x of the left
x=-8. final answer
g(-8)=-62
Find the Average Rate of Change between each pair of points.
1) (-10, 7), (6, 20)
Answer:
13/16
Step-by-step explanation:
The dimensions of the base of box 2 are: width: x; length: 3 width: x; length: 4x â€"" 1 width: x; length: x â€"" 4 width: x; length: 4x 1
Answer: 4x - 1
Step-by-step explanation:
Answer:
4x-2
Step-by-step explanation:
i did it
Casey’s bedroom is shaped like a square. The distance between opposite corners is 12√2 feet. How long is each side of the bedroom?
Answer:
12 feet
Step-by-step explanation:
You want the length of the side of a square with a diagonal length of 12√2.
Diagonal of a squareThe diagonal of a square is the hypotenuse of a right triangle with equal-length sides. Such an isosceles right triangle has side lengths in the ratio ...
1 : 1 : √2
That is, the hypotenuse is √2 times the side length.
The given hypotenuse is 12√2, so the side length is 12.
Each side of the bedroom is 12 feet.
59 tanya prepared 4 different letters to be sent to 4 different addresses. for each letter, she prepared an envelope with its correct address. if the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address? a) 24 1 b) 8 1 c) 4 1 d) 3 1 e) 8
There is a 1 in 4 probability, or 25%, that the envelope will contain just one letter with the proper address.
Tanya wrote four distinct letters that she was going to send to four different addresses. She prepared an envelope with the correct address for each letter. The probability that only 1 letter will be placed into the envelope with the correct address if the 4 letters are randomly placed into the 4 envelopes is
1 in 4, or 25%
(4c4/4c1).
Learn more about probability here
https://brainly.com/question/12226830
#SPJ4
what determined whether college freshmen who had been randomly paired for a welcome week dance liked each other?
Physical attractiveness determined whether college freshmen who had been randomly paired for a welcome week dance liked each other.
What is random pair?Samples with natural or matched couplings are known as paired samples (sometimes referred to as dependent samples). This results in the creation of a data set where each data point from one sample is uniquely linked with a data point from the other sample. In statistics, paired data, also known as ordered pairs, refers to two variables in a population's individuals that are linked together to ascertain their association. We refer to two datasets that are identical in length and in which each observation can be "paired" with an observation from the other dataset as having "paired data." Each observation in one dataset must only be paired with one observation in the other dataset in order for the two datasets to be paired.
To know more about random pair,
https://brainly.com/question/14854158
#SPJ4
JUST WANT THE ANSWER NO EXPLINATION NEED HELP ASAP!
Answer:
Step-by-step explanation:
11. First option
12. 5p+4 > 14
> symbol is greater than and has an open circle, going right
Answer:
Option A for both questions--------------------------
The first questionThe graph indicates the inequality n ≤ 1, since highlighted part is to the left from the 1 and there is a closed circle.
Double both sides to get 2n:
n ≤ 1 ⇒ 2n ≤ 2And add 5 to both sides to get 7:
2n + 5 ≤ 2 + 5 ⇒ 2n + 5 ≤ 7This is matching the option A.
Question 12The graph indicates the inequality p > 2, since highlighted part is to the right from the 2 and there is a open circle.
Multiply both sides by 5 to get 5p:
p > 2 ⇒5p > 10Add 4 to both sides to get 14:
5p > 10 ⇒5p + 4 > 14This is matching the option A.
Data was collected for sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below . Which statement best describes the meaning of onle of the bars in the histogram? 210 snacks have mg of sugar 1 snacks have about 210 mg of sugar. The largest number of snacks have 12 mg of sugar 210 snacks have betwcen 200 and 220 mg of sugar
The histogram's best summary is option (D), "there are a total of 12 snacks with the same amount of sugar."
What is a histogram?While bar charts show categorical variables, histograms show quantitative or numerical data.
The majority of the time, a histogram's numerical data will be continuous (having infinite values).
It would be ridiculous to try and show all possible values of a continuous variable along an axis.
So, the y-axis displays the number of snacks.
The x-axis displays how much sugar is in each snack.
The histogram's first column reveals that 2 snacks each contain between 220 and 224 mg of sugar.
The second column reveals that around 3 snacks have 224–228 mg of sugar.
The third column reveals that 8 snacks range in sugar content from 228 to 232 mg.
Twelve snacks are identified in the fourth column as having between 232 and 236 mg of sugar.
Twelve snacks are identified in the fourth column as having between 232 and 236 mg of sugar.
The fifth column reveals that 11 snacks range in sugar content from 236 to 240 mg.
Three snacks are shown to contain between 240 and 244 mg of sugar in the sixth column.
According to the seventh column, 2 snacks contain 244–248 mg of sugar.
The total number of observations is 41 nibbles, or 2+3+8+12+11+3+2.
So, the best statement that describes the histogram is "The most snacks with the same quantity of sugar are 12 in total."
Therefore, the histogram's best summary is option (D), "there are a total of 12 snacks with the same amount of sugar."
Know more about a histogram here:
https://brainly.com/question/2962546
#SPJ4
Complete question:
Data were collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. Which statement best describes the meaning of one of the bars in the histogram?
2
4
6
8
10
12
amount of sugar (mg)
220
224
228
232
236
240
244
248
Frequency
a. 2 snacks have about 226 mg of sugar.
b. 226 snacks have 2 mg of sugar.
c. 226 snacks have between 224 and 228 mg of sugar.
d. The largest number of snacks have 12 mg of sugar
Donald reads 1000 words in five minutes what is the unit rate of words per minute